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An Optimal Partially Backlogged Policy of Deteriorating Items with Quadratic Demand

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Computational Intelligence in Data Mining—Volume 1

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 410))

Abstract

An EOQ (Economic Order Quantity) model for a deteriorating item with quadratic demand pattern and quadratic holding cost and constant deterioration rate is considered in this paper. In addition, shortages and partial backlogging are allowed. It is assumed that the backlogging rate acts as not only a variable, but also depends on the length of the waiting time up to next replenishment during the stock out period. For this model, average total cost is derived. Finally, a numerical example for illustration is provided.

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Author information

Authors and Affiliations

  1. Department of Mathematics, C. V. Raman College of Engineering, Bhubaneswar, 752054, Odisha, India

    Trailokyanath Singh

  2. Research Scholar, Ravenshaw University, Cuttack, 753003, Odisha, India

    Nirakar Niranjan Sethy

  3. Department of Mathematics, IIT Roorkee, Roorkee, 247667, India

    Ameeya Kumar Nayak

  4. Department of Mathematics, Institute of Mathematics and Applications, Andharua, Bhubaneswar, 751003, Odisha, India

    Hadibandhu Pattanayak

Authors
  1. Trailokyanath Singh
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  2. Nirakar Niranjan Sethy
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  3. Ameeya Kumar Nayak
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  4. Hadibandhu Pattanayak
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Corresponding author

Correspondence to Trailokyanath Singh .

Editor information

Editors and Affiliations

  1. Veer Surendra Sai University of Tech., Dept of Computer Sci Eng & IT, Sambalpur, Odisha, India

    Himansu Sekhar Behera

  2. National Institute of Technology, Dept. of Computer Science & Engineering, Rourkela, Odisha, India

    Durga Prasad Mohapatra

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Singh, T., Sethy, N.N., Nayak, A.K., Pattanayak, H. (2016). An Optimal Partially Backlogged Policy of Deteriorating Items with Quadratic Demand. In: Behera, H., Mohapatra, D. (eds) Computational Intelligence in Data Mining—Volume 1. Advances in Intelligent Systems and Computing, vol 410. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2734-2_2

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  • DOI: https://doi.org/10.1007/978-81-322-2734-2_2

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2732-8

  • Online ISBN: 978-81-322-2734-2

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